Question

If the point (3/5,4/5) corresponds an angle theta in the unit circle, what is tan θ?

Answer 1

`\bf tan(\theta)=\cfrac{y}{x}\\\\ -------------------------------\\\\ \begin{array}{clclll} ((3)/(5)&\ ,\ &(4)/(5))\\ \uparrow &&\uparrow \\ x&&y \end{array}\qquad tan(\theta )=\cfrac{(4)/(5)}{(3)/(5)}\implies tan(\theta )=\cfrac{4}{5}\cdot \cfrac{5}{3}\implies tan(\theta )=\cfrac{4}{3}`